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arxiv: 1907.08280 · v1 · pith:7KIZ36ZCnew · submitted 2019-07-18 · ⚛️ physics.flu-dyn

Performance and near-wake characterization of a tidal current turbine in elevated levels of free stream turbulence

Ashwin Vinod , Arindam Banerjee This is my paper

Pith reviewed 2026-05-24 19:13 UTC · model grok-4.3

classification ⚛️ physics.flu-dyn
keywords tidal turbinefree stream turbulencewake recoveryrotor torqueswirl numbernear-waketurbulence intensityintegral length scale
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0 comments X

The pith

Elevated free-stream turbulence increases tidal turbine torque fluctuations 4.5-fold while doubling wake energy recovery by four diameters.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper tests a model tidal turbine in controlled flows with quasi-laminar conditions and two elevated turbulence cases produced by an active grid. It measures rotor torque statistics, wake velocity recovery, and swirl to quantify how turbulence intensity and length scale alter performance and near-wake structure. Higher turbulence raises torque variability sharply and speeds up energy recovery in the wake while eroding its rotational character. These effects matter because real tidal sites exhibit elevated free-stream turbulence that existing low-turbulence design assumptions do not capture. The results show that inflow length scale changes wake details but leaves recovery rate unchanged.

Core claim

Experiments with a tidal turbine model show that free-stream turbulence intensities of 12-14% raise the standard deviation of rotor torque by 4.5 times relative to 2.2% quasi-laminar flow. At four diameters downstream the wake recovers 37% of inflow kinetic energy, twice the fraction recovered in the low-turbulence case. Swirl number in the wake drops between 12% and 71% depending on downstream location. Increasing the inflow integral length scale from 0.4D to D increases wake turbulence intensity and anisotropy but produces no measurable change in recovery rate.

What carries the argument

Active-grid turbulence generator that seeds controlled free-stream turbulence intensity and integral length scale, combined with simultaneous torque, hot-wire, and particle-image velocimetry measurements of near-wake velocity and swirl.

If this is right

  • Turbine structural design must include higher margins for torque loading when sited in turbulent flows.
  • Faster wake recovery implies that minimum turbine spacing can be reduced in high-turbulence locations without losing array efficiency.
  • Loss of wake swirl reduces the rotational momentum that would otherwise affect a downstream rotor.
  • Wake turbulence intensity and anisotropy increase with larger inflow length scales even when mean recovery rate stays constant.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Site turbulence characterization may become a required input for array layout optimization rather than an optional refinement.
  • Numerical wake models used for farm planning could be improved by explicitly including turbulence intensity as a parameter.
  • The observed independence of recovery rate from inflow length scale suggests that length-scale effects may appear only farther downstream or in other quantities such as fatigue loads.

Load-bearing premise

The turbulence statistics produced by the active grid match those at actual tidal sites and model-scale trends in torque fluctuation and wake recovery apply directly to full-scale turbines.

What would settle it

Field data from an operating tidal turbine showing torque standard deviation rising by less than a factor of four or wake kinetic-energy recovery remaining below 20% at four diameters in elevated turbulence.

Figures

Figures reproduced from arXiv: 1907.08280 by Arindam Banerjee, Ashwin Vinod.

Figure 1
Figure 1. Figure 1: Schematic of (A) laboratory (1:20) scale tidal turbin [PITH_FULL_IMAGE:figures/full_fig_p008_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Effect of sampling period on (A) time-averaged thrust [PITH_FULL_IMAGE:figures/full_fig_p009_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Turbulence characteristics in the tunnel: (A) streamwise decay of Ti, (B) streamwise variation of IXY, (C) streamwise variation of L The streamwise decay of turbulence in the elevated Ti case was observed to obey a power law of the form 2 0 2 () n u X B UM       (8) where the coefficients B and n were estimated to be 0.46 and 1.23, respectively, within the range typically observed for grid turbule… view at source ↗
Figure 4
Figure 4. Figure 4: (A) Schematic of the test setup used for the tidal tu [PITH_FULL_IMAGE:figures/full_fig_p016_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: (A), (C), (E) Mean velocity, (B), (D), (F) streamwise Ti across the interrogation region for the three inflow conditions Quasi-Laminar Flow Elevated Ti Elevated Ti-LD Parameter At Center￾point Value Spatially Averaged At Center￾point Value Spatially Averaged At Center￾point Value Spatially Averaged U∞ 0.82m/s 0.83 m/s 0.82 m/s 0.85 m/s 0.82 m/s 0.85 m/s Ti 1.8% 2.2% 11.9% 12.6% 13.9 13.9% L 0.7D/11.2c 0.8D… view at source ↗
Figure 6
Figure 6. Figure 6: Power Spectral Density (PSD) vs. frequency (f [PITH_FULL_IMAGE:figures/full_fig_p018_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: (A) Time-averaged power coefficient, CP , (B) time-averaged thrust coefficient, CT , (C) standard deviation of the power coefficient, σ(CP) and (D) standard deviation of the thrust coefficient, σ(CT) measured at the two Ti levels [PITH_FULL_IMAGE:figures/full_fig_p019_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: U* contours for (A) quasi-laminar flow case, (B) elevated Ti case; mid-depth U* profiles at downstream locations (C) X/D = 0.5, (D) X/D = 1, (E) X/D = 2, (F) X/D = 4 [PITH_FULL_IMAGE:figures/full_fig_p021_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Swirl numbers as a function of downstream distance (X/D) for different inflow condition levels. The wake swirl was noticeably affected in the elevated Ti. The maximum value of S calculated in elevated Ti was ~0.12 at X/D=0.5; a value 12% lower than the max S in the quasi-laminar flow. In addition, in elevated Ti, S was found to drop swiftly with downstream distance and reached a value of S=0.02 at X/D = 4.… view at source ↗
Figure 10
Figure 10. Figure 10: Ti contours for (A) quasi-laminar flow case, (B) elevated Ti case; mid-depth TiX profiles at downstream locations (C) X/D = 0.5, (D) X/D = 4 have been reported by several studies [31, 46, 48]. In addition to the outer peak, the two inner peaks are observed in the current work and represent the turbulence generated due to the interaction between wake and the local flow acceleration resulting from the low r… view at source ↗
Figure 11
Figure 11. Figure 11: Figure11: Mid-depth R [PITH_FULL_IMAGE:figures/full_fig_p026_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: L contours for (A) quasi-laminar flow case, (B) elevated Ti case; mid-depth L profiles at downstream locations (C) X/D = 0.5, (D) X/D = 4 had grown near uniformly to an average size of ~0.016m (see figure 12(D)).The L profile observed at X/D=4 in the elevated Ti had become more uniform than the profile upstream at X/D=0.5; L varied between a value of 0.07m - 0.035m and is considerably larger (~ > 2 times)… view at source ↗
Figure 13
Figure 13. Figure 13: Mid-depth IXY profiles at (A) X/D=0.5, (B) X/D=4 Further downstream at X/D =4, oscillations of IXY in the quasi-laminar flow, though noticeable, decrease in magnitude, varying between 0.7 < IXY < 1.3, while still reflecting considerable levels of anisotropic behavior (see figure 13(B)). On the other hand, IXY oscillations at X/D = 4 in the elevated Ti case nearly vanish, generating a near-isotropic flow, … view at source ↗
Figure 14
Figure 14. Figure 14: Wake energy recovery estimations [PITH_FULL_IMAGE:figures/full_fig_p031_14.png] view at source ↗
Figure 15
Figure 15. Figure 15: Frequency spectrum of the streamwise velocity compon [PITH_FULL_IMAGE:figures/full_fig_p032_15.png] view at source ↗
Figure 16
Figure 16. Figure 16: Effect of inflow L on Ti, wake L and IXY at (A),(C),(E) X/D=0.5 and (B),(D),(F) X/D=4 increase, which is considerably larger than the differences observed between the laminar free stream and the elevated Ti case is expected to be an artifact of the difference in inflow length scales in the elevated Ti and elevated Ti-LD cases. The turbulence intensities observed in the annular [PITH_FULL_IMAGE:figures/fu… view at source ↗
read the original abstract

Tidal turbines are deployed in sites which have elevated levels of free stream turbulence (FST). Accounting for elevated FST on their operation become vital from a design standpoint. Detailed experimental measurements of the dynamic near-wake of a tidal turbine model in elevated FST environments is presented; an active grid turbulence generator developed by our group was used to seed in the elevated FST and evaluate the influence of turbulence intensity (Ti) and inflow integral length scale (L) on the near-wake of the turbine. Three inflow conditions are tested: a quasi-laminar flow with Ti ~ 2.2% and two elevated Ti (~12-14%) cases, one with L ~ 0.4D (D is the turbine diameter) and the other where L~ D. Elevated Ti cases was found to increase the standard deviation of rotor torque by 4.5 times the value in quasi-laminar flow. Energy recovery was also found to be accelerated; at X/D=4, the percentage of inflow energy recovered was 37% and was twice the corresponding value in quasi-laminar flow. Elevated FST was observed to disrupt the rotational character of the wake; the drop in swirl number ranged between 12% at X/D=0.5 to 71% at X/D=4. Elevated Ti also resulted in L that were considerably larger (> 2 times) than the quasi-laminar flow case. An increase in inflow integral length scale (from 0.4D to D) was observed to result in enhanced wake Ti, wake structures and anisotropy; however, no noticeable influence was found on the rate of wake recovery.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 2 minor

Summary. The manuscript reports experimental results from a tidal current turbine model tested in a flume under three inflow conditions: quasi-laminar flow (Ti ≈ 2.2%) and two elevated turbulence intensity cases (Ti ≈ 12-14%) with integral length scales L ≈ 0.4D and L ≈ D generated using an active grid. Key findings include a 4.5-fold increase in rotor torque standard deviation, doubled wake energy recovery at X/D = 4 (37% vs. quasi-laminar), and substantial reduction in wake swirl number under elevated FST, with additional observations on wake turbulence intensity and anisotropy depending on L.

Significance. If the laboratory turbulence conditions are representative of tidal sites, these quantitative measurements of torque fluctuations, wake recovery rates, and swirl decay provide important data for validating numerical models and informing turbine design in high-turbulence environments. The controlled variation of both Ti and L using the active grid is a notable strength, allowing isolation of length-scale effects on wake structures without altering recovery rate.

major comments (1)
  1. [Methods / inflow characterization] Methods / inflow characterization: only bulk Ti (~12-14%) and integral length scales (L ~ 0.4D, L ~ D) are reported for the active-grid cases; no spectra, anisotropy tensors, or Reynolds-stress ratios are compared to field data from tidal channels. This is load-bearing for the central claims because the abstract and introduction frame the 4.5× torque-std-dev increase and 2× energy-recovery result at X/D=4 as relevant to real tidal-site FST, yet the representativeness of the generated turbulence remains unverified.
minor comments (2)
  1. [Abstract] Abstract: 'Elevated Ti cases was found to increase...' contains a subject-verb agreement error ('cases was' → 'cases were').
  2. [Results] Results: reported multipliers (4.5×, 37%, 12–71%) lack accompanying uncertainty estimates or statistical significance tests, which would strengthen the quantitative claims even if not load-bearing.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their constructive review and recommendation. We address the single major comment below with a proposed revision to strengthen the manuscript's claims of relevance to tidal sites.

read point-by-point responses

  1. Referee: [Methods / inflow characterization] Methods / inflow characterization: only bulk Ti (~12-14%) and integral length scales (L ~ 0.4D, L ~ D) are reported for the active-grid cases; no spectra, anisotropy tensors, or Reynolds-stress ratios are compared to field data from tidal channels. This is load-bearing for the central claims because the abstract and introduction frame the 4.5× torque-std-dev increase and 2× energy-recovery result at X/D=4 as relevant to real tidal-site FST, yet the representativeness of the generated turbulence remains unverified.

    Authors: We agree that the manuscript would benefit from explicit discussion of how the generated inflow conditions compare to field measurements from tidal channels. The original submission reports only the bulk Ti and integral length scales because those were the controlled parameters of the active-grid experiments. In the revised manuscript we will add a concise paragraph (likely in Section 2 or a new subsection of the discussion) that places our Ti ≈ 12–14 % and L ≈ 0.4D–D values in the context of published tidal-site data (e.g., Ti ranges of 5–20 % and integral scales on the order of rotor diameter). We will also note that the active-grid turbulence is statistically stationary and nearly isotropic at the rotor plane, consistent with the elevated-FST conditions reported at several tidal energy sites. Full spectral shapes, anisotropy tensors, and Reynolds-stress ratios from our experiments are not currently processed; we will therefore limit the addition to a literature-based comparison and a statement of the limitations rather than new data analysis. This change directly addresses the concern that the central quantitative results are framed as relevant to real sites. revision: yes

Circularity Check

0 steps flagged

Pure experimental reporting with no derivations or fitted predictions

full rationale

The paper consists entirely of direct laboratory measurements of rotor torque statistics, wake velocity fields, energy recovery percentages, and swirl numbers under three controlled inflow conditions. No equations, models, or predictions are derived; all reported quantities (4.5× torque std-dev increase, 37 % recovery at X/D=4, swirl-number drops) are measured values presented without fitting, scaling laws, or self-referential derivations. The active-grid generator is referenced as prior work but serves only as the experimental apparatus, not as a load-bearing premise that reduces the results to its own inputs. The central claims therefore remain independent of any circular reduction.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Experimental characterization study; no mathematical model, free parameters, axioms, or postulated entities are introduced.

pith-pipeline@v0.9.0 · 5841 in / 1140 out tokens · 43157 ms · 2026-05-24T19:13:00.598208+00:00 · methodology

discussion (0)

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Reference graph

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